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Finding the Fourth Proportional to 12,464.63, 18,653.06 and 7,786.84

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Solution

The fourth proportional to 12,464.63, 18,653.06 and 7,786.84 is: 11,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.63 : 18,653.06 = 7,786.84 : x
  2. Step 2: Convert to fraction form
    12,464.63/18,653.06 = 7,786.84/x
  3. Step 3: Cross multiply
    12,464.63x = 18,653.06 × 7,786.84
  4. Step 4: Simplify right side
    12,464.63x = 145,248,393.73
  5. Step 5: Solve for x
    x = 145,248,393.73/12,464.63
  6. Step 6: Final answer
    x = 11,652.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.